2016/07/31 by Christopher Brust, Kurt Hinterbichler · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep02(2017)066
published as JHEP 02 (2017) 066 · 65 pages, 10 figures. v2 clarifications, corrections and refs, version appearing in JHEP
arxiv created 2017/04/19 · arxiv updated 2017/04/20
We consider the generalizations of the free U(N) and O(N) scalar conformal field theories to actions with higher powers of the Laplacian boxk, in general dimension d. We study the spectra, Verma modules, anomalies and OPE of these theories. We argue that in certain d and k, the spectrum contains zero norm operators which are both primary and descendant, as well as extension operators which are neither primary nor descendant. In addition, we argue that in even dimensions d <= 2k, there are well-defined operator algebras which are related to the boxk theories and are novel in that they have a finite number of single-trace states.